10540510643025 has 240 divisors, whose sum is σ = 22575988258560. Its totient is φ = 4804933478400.

The previous prime is 10540510643021. The next prime is 10540510643029. The reversal of 10540510643025 is 52034601504501.

10540510643025 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 5 + 1 + 0 + 643 + 0 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10540510643021) and next prime (10540510643029).

It is not a de Polignac number, because 10540510643025 - 2² = 10540510643021 is a prime.

It is a super-2 number, since 2×10540510643025² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10540510643021) 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 239 ways as a sum of consecutive naturals, for example, 377525016 + ... + 377552934.

It is an arithmetic number, because the mean of its divisors is an integer number (94066617744).

Almost surely, 2^{10540510643025} is an apocalyptic number.

10540510643025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10540510643025 is an abundant number, since it is smaller than the sum of its proper divisors (12035477615535).

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

10540510643025 is a wasteful number, since it uses less digits than its factorization.

10540510643025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28966 (or 28952 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10540510643025 in words is "ten trillion, five hundred forty billion, five hundred ten million, six hundred forty-three thousand, twenty-five".