7131975552 has 384 divisors, whose sum is σ = 23180495520. Its totient is φ = 2090188800.

The previous prime is 7131975547. The next prime is 7131975559. The reversal of 7131975552 is 2555791317.

7131975552 is a `hidden beast` number, since 7 + 1 + 3 + 1 + 97 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7131975498 and 7131975507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7131975559) 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, 33800727 + ... + 33800937.

Almost surely, 2^7131975552 is an apocalyptic number.

7131975552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7131975552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590247760).

7131975552 is an abundant number, since it is smaller than the sum of its proper divisors (16048519968).

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

7131975552 is a wasteful number, since it uses less digits than its factorization.

7131975552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its digits is 330750, while the sum is 45.

The square root of 7131975552 is about 84451.0245763780. The cubic root of 7131975552 is about 1924.8783238547.

The spelling of 7131975552 in words is "seven billion, one hundred thirty-one million, nine hundred seventy-five thousand, five hundred fifty-two".