65357433801 has 81 divisors (see below), whose sum is σ = 106333899399. Its totient is φ = 38654431200.

The previous prime is 65357433749. The next prime is 65357433863. The reversal of 65357433801 is 10833475356.

The square root of 65357433801 is 255651.

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

65357433801 is a `hidden beast` number, since 6 + 535 + 7 + 4 + 33 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2125302201 + 63232131600 = 46101^2 + 251460^2 .

It is a de Polignac number, because none of the positive numbers 2^k-65357433801 is a prime.

It is a super-3 number, since 3×65357433801³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (65357433601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 514625400 + ... + 514625526.

Almost surely, 2^65357433801 is an apocalyptic number.

65357433801 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

65357433801 is the 255651-st square number.

65357433801 is the 127826-th centered octagonal number.

It is an amenable number.

65357433801 is a deficient number, since it is larger than the sum of its proper divisors (40976465598).

65357433801 is a wasteful number, since it uses less digits than its factorization.

65357433801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 65357433801 in words is "sixty-five billion, three hundred fifty-seven million, four hundred thirty-three thousand, eight hundred one".