1515306252420 has 144 divisors (see below), whose sum is σ = 4819007636352. Its totient is φ = 384680862720.

The previous prime is 1515306252409. The next prime is 1515306252491. The reversal of 1515306252420 is 242526035151.

1515306252420 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 3 + 0 + 625 + 2 + 4 + 20 = 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 47 ways as a sum of consecutive naturals, for example, 6204 + ... + 1740876.

It is an arithmetic number, because the mean of its divisors is an integer number (33465330808).

Almost surely, 2^{1515306252420} is an apocalyptic number.

1515306252420 is a gapful number since it is divisible by the number (10) 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 1515306252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409503818176).

1515306252420 is an abundant number, since it is smaller than the sum of its proper divisors (3303701383932).

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

1515306252420 is a wasteful number, since it uses less digits than its factorization.

1515306252420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734922 (or 1734917 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1515306252420 in words is "one trillion, five hundred fifteen billion, three hundred six million, two hundred fifty-two thousand, four hundred twenty".