952574048001 has 9 divisors (see below), whose sum is σ = 1375944520899. Its totient is φ = 635047413336.

The previous prime is 952574047981. The next prime is 952574048021. The reversal of 952574048001 is 100840475259.

The square root of 952574048001 is 975999.

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

952574048001 is a `hidden beast` number, since 9 + 525 + 7 + 40 + 4 + 80 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (952574047981) and next prime (952574048021).

It can be written as a sum of positive squares in only one way, i.e., 908085114225 + 44488933776 = 952935^2 + 210924^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 952574048001 - 2⁵ = 952574047969 is a prime.

It is a super-2 number, since 2×952574048001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (952574048021) 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, 2765331 + ... + 3090663.

Almost surely, 2^952574048001 is an apocalyptic number.

952574048001 is the 975999-th square number.

952574048001 is the 488000-th centered octagonal number.

It is an amenable number.

952574048001 is a deficient number, since it is larger than the sum of its proper divisors (423370472898).

952574048001 is an frugal number, since it uses more digits than its factorization.

952574048001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650672 (or 325336 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 952574048001 in words is "nine hundred fifty-two billion, five hundred seventy-four million, forty-eight thousand, one".