151541101351563 has 96 divisors (see below), whose sum is σ = 258154086009600. Its totient is φ = 78187558176000.

The previous prime is 151541101351559. The next prime is 151541101351579. The reversal of 151541101351563 is 365153101145151.

It is a happy number.

It is not a de Polignac number, because 151541101351563 - 2² = 151541101351559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (151541101351513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4033440568 + ... + 4033478138.

It is an arithmetic number, because the mean of its divisors is an integer number (2689105062600).

Almost surely, 2^{151541101351563} is an apocalyptic number.

151541101351563 is a deficient number, since it is larger than the sum of its proper divisors (106612984658037).

151541101351563 is a wasteful number, since it uses less digits than its factorization.

151541101351563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54489 (or 54482 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 42.

The spelling of 151541101351563 in words is "one hundred fifty-one trillion, five hundred forty-one billion, one hundred one million, three hundred fifty-one thousand, five hundred sixty-three".