975652038001 has 27 divisors (see below), whose sum is σ = 1048965369249. Its totient is φ = 907276950528.

The previous prime is 975652037999. The next prime is 975652038077. The reversal of 975652038001 is 100830256579.

The square root of 975652038001 is 987751.

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

It can be written as a sum of positive squares in 4 ways, for example, as 57121478001 + 918530560000 = 239001^2 + 958400^2 .

It is not a de Polignac number, because 975652038001 - 2¹ = 975652037999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (975652038401) 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 26 ways as a sum of consecutive naturals, for example, 1628801100 + ... + 1628801698.

Almost surely, 2^975652038001 is an apocalyptic number.

975652038001 is the 987751-st square number.

975652038001 is the 493876-th centered octagonal number.

It is an amenable number.

975652038001 is a deficient number, since it is larger than the sum of its proper divisors (73313331248).

975652038001 is an frugal number, since it uses more digits than its factorization.

975652038001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 975652038001 in words is "nine hundred seventy-five billion, six hundred fifty-two million, thirty-eight thousand, one".