10757029003681 has 9 divisors (see below), whose sum is σ = 11055741820851. Its totient is φ = 10466180417592.

The previous prime is 10757029003657. The next prime is 10757029003751. The reversal of 10757029003681 is 18630092075701.

It is a happy number.

The square root of 10757029003681 is 3279791.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9625537275025 + 1131491728656 = 3102505^2 + 1063716^2 .

It is not a de Polignac number, because 10757029003681 - 2²³ = 10757020615073 is a prime.

It is a super-2 number, since 2×10757029003681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10757029003601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 121307946 + ... + 121396588.

Almost surely, 2^{10757029003681} is an apocalyptic number.

10757029003681 is the 3279791-st square number.

10757029003681 is the 1639896-th centered octagonal number.

It is an amenable number.

10757029003681 is a deficient number, since it is larger than the sum of its proper divisors (298712817170).

10757029003681 is an frugal number, since it uses more digits than its factorization.

10757029003681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177360 (or 88680 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 10757029003681 by its sum of digits (49), we get a square (527094421180369 = 22958537²).

The spelling of 10757029003681 in words is "ten trillion, seven hundred fifty-seven billion, twenty-nine million, three thousand, six hundred eighty-one".