513374274 has 80 divisors (see below), whose sum is σ = 1341648000. Its totient is φ = 146662488.

The previous prime is 513374249. The next prime is 513374293. The reversal of 513374274 is 472473315.

513374274 is a `hidden beast` number, since 5 + 13 + 374 + 274 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50947 + ... + 60185.

It is an arithmetic number, because the mean of its divisors is an integer number (16770600).

Almost surely, 2^513374274 is an apocalyptic number.

513374274 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513374274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670824000).

513374274 is an abundant number, since it is smaller than the sum of its proper divisors (828273726).

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

513374274 is an equidigital number, since it uses as much as digits as its factorization.

513374274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 9251 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 513374274 is about 22657.7640997518. The cubic root of 513374274 is about 800.7151282573.

It can be divided in two parts, 51337 and 4274, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 513374274 in words is "five hundred thirteen million, three hundred seventy-four thousand, two hundred seventy-four".