513820125 has 192 divisors, whose sum is σ = 1195084800. Its totient is φ = 215913600.

The previous prime is 513820117. The next prime is 513820127. The reversal of 513820125 is 521028315.

It is a happy number.

513820125 is a `hidden beast` number, since 513 + 8 + 20 + 125 = 666.

It is not a de Polignac number, because 513820125 - 2³ = 513820117 is a prime.

It is a super-2 number, since 2×513820125² = 528022241710031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513820127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2149756 + ... + 2149994.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2^513820125 is an apocalyptic number.

It is an amenable number.

513820125 is an abundant number, since it is smaller than the sum of its proper divisors (681264675).

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

513820125 is a wasteful number, since it uses less digits than its factorization.

513820125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 513820125 is about 22667.6007773209. The cubic root of 513820125 is about 800.9468606473.

The spelling of 513820125 in words is "five hundred thirteen million, eight hundred twenty thousand, one hundred twenty-five".