46513185201 has 64 divisors (see below), whose sum is σ = 83315200000. Its totient is φ = 25053152256.

The previous prime is 46513185193. The next prime is 46513185209. The reversal of 46513185201 is 10258131564.

46513185201 is a `hidden beast` number, since 46 + 513 + 1 + 85 + 20 + 1 = 666.

46513185201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46513185193) and next prime (46513185209).

It is not a de Polignac number, because 46513185201 - 2³ = 46513185193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46513185209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 682065 + ... + 747153.

It is an arithmetic number, because the mean of its divisors is an integer number (1301800000).

Almost surely, 2^46513185201 is an apocalyptic number.

It is an amenable number.

46513185201 is a deficient number, since it is larger than the sum of its proper divisors (36802014799).

46513185201 is a wasteful number, since it uses less digits than its factorization.

46513185201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65323 (or 65317 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 46513185201 in words is "forty-six billion, five hundred thirteen million, one hundred eighty-five thousand, two hundred one".