10510505001051 has 64 divisors (see below), whose sum is σ = 15979528765440. Its totient is φ = 6087357360000.

The previous prime is 10510505001011. The next prime is 10510505001119. The reversal of 10510505001051 is 15010050501501.

10510505001051 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 10510505001051 - 2²² = 10510500806747 is a prime.

It is a super-2 number, since 2×10510505001051² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10510505001011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39025216 + ... + 39293618.

It is an arithmetic number, because the mean of its divisors is an integer number (249680136960).

Almost surely, 2^{10510505001051} is an apocalyptic number.

10510505001051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10510505001051 is a deficient number, since it is larger than the sum of its proper divisors (5469023764389).

10510505001051 is a wasteful number, since it uses less digits than its factorization.

10510505001051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268928.

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 10510505001051 its reverse (15010050501501), we get a palindrome (25520555502552).

The spelling of 10510505001051 in words is "ten trillion, five hundred ten billion, five hundred five million, one thousand, fifty-one".