972252000052 has 12 divisors (see below), whose sum is σ = 1705814887140. Its totient is φ = 484876318016.

The previous prime is 972252000029. The next prime is 972252000061. The reversal of 972252000052 is 250000252279.

It can be written as a sum of positive squares in 2 ways, for example, as 625703148196 + 346548851856 = 791014^2 + 588684^2 .

It is a super-3 number, since 3×972252000052³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 972251999981 and 972252000017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312418753 + ... + 312421864.

It is an arithmetic number, because the mean of its divisors is an integer number (142151240595).

Almost surely, 2^972252000052 is an apocalyptic number.

It is an amenable number.

972252000052 is a deficient number, since it is larger than the sum of its proper divisors (733562887088).

972252000052 is a wasteful number, since it uses less digits than its factorization.

972252000052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624841010 (or 624841008 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 972252000052 in words is "nine hundred seventy-two billion, two hundred fifty-two million, fifty-two", and thus it is an aban number.