59351191641 has 63 divisors (see below), whose sum is σ = 103594788111. Its totient is φ = 33888655584.

The previous prime is 59351191579. The next prime is 59351191663. The reversal of 59351191641 is 14619115395.

The square root of 59351191641 is 243621.

It is a perfect power (a square), and thus also a powerful number.

59351191641 is a `hidden beast` number, since 5 + 9 + 3 + 511 + 91 + 6 + 41 = 666.

59351191641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 48149086041 + 11202105600 = 219429^2 + 105840^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 59351191641 - 2⁷ = 59351191513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (59351193641) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 46043725 + ... + 46045013.

Almost surely, 2^59351191641 is an apocalyptic number.

59351191641 is the 243621-st square number.

59351191641 is the 121811-st centered octagonal number.

It is an amenable number.

59351191641 is a deficient number, since it is larger than the sum of its proper divisors (44243596470).

59351191641 is an frugal number, since it uses more digits than its factorization.

59351191641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 1299 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The spelling of 59351191641 in words is "fifty-nine billion, three hundred fifty-one million, one hundred ninety-one thousand, six hundred forty-one".