10505756261 has 32 divisors (see below), whose sum is σ = 14393568000. Its totient is φ = 7556552640.

The previous prime is 10505756257. The next prime is 10505756309. The reversal of 10505756261 is 16265750501.

It is not a de Polignac number, because 10505756261 - 2² = 10505756257 is a prime.

It is a super-2 number, since 2×10505756261² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505756251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58046 + ... + 156143.

It is an arithmetic number, because the mean of its divisors is an integer number (449799000).

Almost surely, 2^10505756261 is an apocalyptic number.

10505756261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10505756261 is a deficient number, since it is larger than the sum of its proper divisors (3887811739).

10505756261 is a wasteful number, since it uses less digits than its factorization.

10505756261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214234 (or 214220 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 10505756261 in words is "ten billion, five hundred five million, seven hundred fifty-six thousand, two hundred sixty-one".