36157402801 has 9 divisors (see below), whose sum is σ = 39155367531. Its totient is φ = 33373782312.

The previous prime is 36157402769. The next prime is 36157402807. The reversal of 36157402801 is 10820475163.

The square root of 36157402801 is 190151.

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

It can be written as a sum of positive squares in only one way, i.e., 5348728225 + 30808674576 = 73135^2 + 175524^2 .

It is not a de Polignac number, because 36157402801 - 2⁵ = 36157402769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36157402807) 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 8 ways as a sum of consecutive naturals, for example, 2464650 + ... + 2479276.

Almost surely, 2^36157402801 is an apocalyptic number.

36157402801 is the 190151-st square number.

36157402801 is the 95076-th centered octagonal number.

It is an amenable number.

36157402801 is a deficient number, since it is larger than the sum of its proper divisors (2997964730).

36157402801 is an frugal number, since it uses more digits than its factorization.

36157402801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29280 (or 14640 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 36157402801 its reverse (10820475163), we get a palindrome (46977877964).

The spelling of 36157402801 in words is "thirty-six billion, one hundred fifty-seven million, four hundred two thousand, eight hundred one".