7251545952 has 96 divisors (see below), whose sum is σ = 24171840000. Its totient is φ = 2071868544.

The previous prime is 7251545927. The next prime is 7251545953. The reversal of 7251545952 is 2595451527.

7251545952 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 54 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 7251545898 and 7251545907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7251545953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593452 + ... + 605547.

It is an arithmetic number, because the mean of its divisors is an integer number (251790000).

Almost surely, 2^7251545952 is an apocalyptic number.

7251545952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7251545952 is an abundant number, since it is smaller than the sum of its proper divisors (16920294048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7251545952 is a wasteful number, since it uses less digits than its factorization.

7251545952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199025 (or 1199011 counting only the distinct ones).

The product of its digits is 630000, while the sum is 45.

The square root of 7251545952 is about 85156.0094884677. The cubic root of 7251545952 is about 1935.5758781113.

The spelling of 7251545952 in words is "seven billion, two hundred fifty-one million, five hundred forty-five thousand, nine hundred fifty-two".