151048045201 has 9 divisors (see below), whose sum is σ = 153972778449. Its totient is φ = 148177872336.

The previous prime is 151048045189. The next prime is 151048045219. The reversal of 151048045201 is 102540840151.

The square root of 151048045201 is 388649.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31470405201 + 119577640000 = 177399^2 + 345800^2 .

It is not a de Polignac number, because 151048045201 - 2²⁵ = 151014490769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151048045231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20594731 + ... + 20602063.

Almost surely, 2^151048045201 is an apocalyptic number.

151048045201 is the 388649-th square number.

151048045201 is the 194325-th centered octagonal number.

It is an amenable number.

151048045201 is a deficient number, since it is larger than the sum of its proper divisors (2924733248).

151048045201 is an frugal number, since it uses more digits than its factorization.

151048045201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 7386 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

Multiplying 151048045201 by its product of nonzero digits (6400), we get a square (966707489286400 = 31091920²).

Adding to 151048045201 its reverse (102540840151), we get a palindrome (253588885352).

The spelling of 151048045201 in words is "one hundred fifty-one billion, forty-eight million, forty-five thousand, two hundred one".