1513412331552 has 384 divisors, whose sum is σ = 5088724300800. Its totient is φ = 432768614400.

The previous prime is 1513412331493. The next prime is 1513412331577. The reversal of 1513412331552 is 2551332143151.

It is a happy number.

1513412331552 is a `hidden beast` number, since 1 + 5 + 13 + 41 + 23 + 31 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46391727 + ... + 46424337.

It is an arithmetic number, because the mean of its divisors is an integer number (13251886200).

Almost surely, 2^{1513412331552} is an apocalyptic number.

1513412331552 is a gapful number since it is divisible by the number (12) 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 1513412331552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544362150400).

1513412331552 is an abundant number, since it is smaller than the sum of its proper divisors (3575311969248).

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

1513412331552 is a wasteful number, since it uses less digits than its factorization.

1513412331552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32917 (or 32903 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 1513412331552 in words is "one trillion, five hundred thirteen billion, four hundred twelve million, three hundred thirty-one thousand, five hundred fifty-two".