1525472331264 has 800 divisors, whose sum is σ = 5546492430336. Its totient is φ = 407945134080.

The previous prime is 1525472331247. The next prime is 1525472331281. The reversal of 1525472331264 is 4621332745251.

1525472331264 is a `hidden beast` number, since 1 + 5 + 2 + 54 + 7 + 2 + 331 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (1525472331247) and next prime (1525472331281).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 313816194 + ... + 313821054.

Almost surely, 2^{1525472331264} is an apocalyptic number.

1525472331264 is a gapful number since it is divisible by the number (14) 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 1525472331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773246215168).

1525472331264 is an abundant number, since it is smaller than the sum of its proper divisors (4021020099072).

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

1525472331264 is an equidigital number, since it uses as much as digits as its factorization.

1525472331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4943 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 1525472331264 in words is "one trillion, five hundred twenty-five billion, four hundred seventy-two million, three hundred thirty-one thousand, two hundred sixty-four".