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10025531625 = 35394128411
BaseRepresentation
bin10010101011001000…
…10111100011101001
3221212200210202221010
421111210113203221
5131013014003000
64334453534133
7503304420114
oct112544274351
927780722833
1010025531625
11428517332a
121b39644349
13c3a089645
146b16cb57b
153da252d50
hex2559178e9

10025531625 has 32 divisors (see below), whose sum is σ = 16700800896. Its totient is φ = 5341080000.

The previous prime is 10025531591. The next prime is 10025531629. The reversal of 10025531625 is 52613552001.

It is a happy number.

10025531625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10025531625 - 26 = 10025531561 is a prime.

It is a super-2 number, since 2×100255316252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10025531592 and 10025531601.

It is not an unprimeable number, because it can be changed into a prime (10025531629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338670 + ... + 367080.

It is an arithmetic number, because the mean of its divisors is an integer number (521900028).

Almost surely, 210025531625 is an apocalyptic number.

10025531625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10025531625 is a deficient number, since it is larger than the sum of its proper divisors (6675269271).

10025531625 is an equidigital number, since it uses as much as digits as its factorization.

10025531625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29370 (or 29360 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10025531625 in words is "ten billion, twenty-five million, five hundred thirty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 941 2823 4705 14115 23525 28411 70575 85233 117625 142055 352875 426165 710275 2130825 3551375 10654125 26734751 80204253 133673755 401021265 668368775 2005106325 3341843875 10025531625