513525151344150 has 144 divisors (see below), whose sum is σ = 1506514113073008. Its totient is φ = 124373610912000.

The previous prime is 513525151344097. The next prime is 513525151344157. The reversal of 513525151344150 is 51443151525315.

513525151344150 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 2 + 5 + 151 + 3 + 441 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 513525151344096 and 513525151344105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513525151344157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43637049 + ... + 54140948.

It is an arithmetic number, because the mean of its divisors is an integer number (10461903563007).

Almost surely, 2^{513525151344150} is an apocalyptic number.

513525151344150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

513525151344150 is an abundant number, since it is smaller than the sum of its proper divisors (992988961728858).

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

513525151344150 is a wasteful number, since it uses less digits than its factorization.

513525151344150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97779087 (or 97779079 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 513525151344150 in words is "five hundred thirteen trillion, five hundred twenty-five billion, one hundred fifty-one million, three hundred forty-four thousand, one hundred fifty".