513251641 has 16 divisors (see below), whose sum is σ = 621924480. Its totient is φ = 413487360.

The previous prime is 513251639. The next prime is 513251663. The reversal of 513251641 is 146152315.

513251641 = T₆₉₈₁ + T₆₉₈₂ + ... + T₇₀₀₁.

It is a cyclic number.

It is not a de Polignac number, because 513251641 - 2¹ = 513251639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513251611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99711 + ... + 104731.

It is an arithmetic number, because the mean of its divisors is an integer number (38870280).

Almost surely, 2^513251641 is an apocalyptic number.

It is an amenable number.

513251641 is a deficient number, since it is larger than the sum of its proper divisors (108672839).

513251641 is a wasteful number, since it uses less digits than its factorization.

513251641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904.

The product of its digits is 3600, while the sum is 28.

The square root of 513251641 is about 22655.0577355256. The cubic root of 513251641 is about 800.6513658634.

The spelling of 513251641 in words is "five hundred thirteen million, two hundred fifty-one thousand, six hundred forty-one".