1056460646501 has 48 divisors (see below), whose sum is σ = 1208051573760. Its totient is φ = 923377540800.

The previous prime is 1056460646497. The next prime is 1056460646513.

1056460646501 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1056460646501 - 2² = 1056460646497 is a prime.

It is a super-2 number, since 2×1056460646501² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056460646561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207675980 + ... + 207681066.

It is an arithmetic number, because the mean of its divisors is an integer number (25167741120).

Almost surely, 2^{1056460646501} is an apocalyptic number.

It is an amenable number.

1056460646501 is a deficient number, since it is larger than the sum of its proper divisors (151590927259).

1056460646501 is an equidigital number, since it uses as much as digits as its factorization.

1056460646501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 1056460646501 in words is "one trillion, fifty-six billion, four hundred sixty million, six hundred forty-six thousand, five hundred one".