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1025212512 = 253157251271
BaseRepresentation
bin111101000110111…
…000000001100000
32122110010012011210
4331012320001200
54044423300022
6245421510120
734256106522
oct7506700140
92573105153
101025212512
11486784375
12247412340
1313452702c
149a231a12
1560011a0c
hex3d1b8060

1025212512 has 96 divisors (see below), whose sum is σ = 2729147904. Its totient is φ = 336960000.

The previous prime is 1025212481. The next prime is 1025212547. The reversal of 1025212512 is 2152125201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10252125122 = 2102121389522700288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3782937 + ... + 3783207.

It is an arithmetic number, because the mean of its divisors is an integer number (28428624).

Almost surely, 21025212512 is an apocalyptic number.

1025212512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364573952).

1025212512 is an abundant number, since it is smaller than the sum of its proper divisors (1703935392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025212512 is a wasteful number, since it uses less digits than its factorization.

1025212512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1025212512 is about 32018.9398950059. The cubic root of 1025212512 is about 1008.3345135671.

Adding to 1025212512 its reverse (2152125201), we get a palindrome (3177337713).

The spelling of 1025212512 in words is "one billion, twenty-five million, two hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 251 271 314 471 502 542 628 753 813 942 1004 1084 1256 1506 1626 1884 2008 2168 2512 3012 3252 3768 4016 4336 5024 6024 6504 7536 8032 8672 12048 13008 15072 24096 26016 39407 42547 68021 78814 85094 118221 127641 136042 157628 170188 204063 236442 255282 272084 315256 340376 408126 472884 510564 544168 630512 680752 816252 945768 1021128 1088336 1261024 1361504 1632504 1891536 2042256 2176672 3265008 3783072 4084512 6530016 10679297 21358594 32037891 42717188 64075782 85434376 128151564 170868752 256303128 341737504 512606256 1025212512