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1005252053415 = 351571361311807
BaseRepresentation
bin11101010000011011011…
…00010000100110100111
310120002201202002101022220
432220031230100212213
5112432224011202130
62045450104123423
7132425040320061
oct16501554204647
93502652071286
101005252053415
11358363639405
121429a8a66573
1373a4440865c
1436923b9a731
151b2378aa410
hexea0db109a7

1005252053415 has 32 divisors (see below), whose sum is σ = 1610008897536. Its totient is φ = 535599496320.

The previous prime is 1005252053413. The next prime is 1005252053453. The reversal of 1005252053415 is 5143502525001.

It is not a de Polignac number, because 1005252053415 - 21 = 1005252053413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005252053413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85134442 + ... + 85146248.

It is an arithmetic number, because the mean of its divisors is an integer number (50312778048).

Almost surely, 21005252053415 is an apocalyptic number.

1005252053415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005252053415 is a deficient number, since it is larger than the sum of its proper divisors (604756844121).

1005252053415 is a wasteful number, since it uses less digits than its factorization.

1005252053415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16999.

The product of its (nonzero) digits is 30000, while the sum is 33.

Adding to 1005252053415 its reverse (5143502525001), we get a palindrome (6148754578416).

The spelling of 1005252053415 in words is "one trillion, five billion, two hundred fifty-two million, fifty-three thousand, four hundred fifteen".

Divisors: 1 3 5 15 1571 3613 4713 7855 10839 11807 18065 23565 35421 54195 59035 177105 5676023 17028069 18548797 28380115 42658691 55646391 85140345 92743985 127976073 213293455 278231955 639880365 67016803561 201050410683 335084017805 1005252053415