305200153401 has 64 divisors (see below), whose sum is σ = 499063541760. Its totient is φ = 163251728640.

The previous prime is 305200153381. The next prime is 305200153459. The reversal of 305200153401 is 104351002503.

It is not a de Polignac number, because 305200153401 - 2¹⁸ = 305199891257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (305200153901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33434700 + ... + 33443826.

It is an arithmetic number, because the mean of its divisors is an integer number (7797867840).

Almost surely, 2^305200153401 is an apocalyptic number.

It is an amenable number.

305200153401 is a deficient number, since it is larger than the sum of its proper divisors (193863388359).

305200153401 is a wasteful number, since it uses less digits than its factorization.

305200153401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12566.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 305200153401 its reverse (104351002503), we get a palindrome (409551155904).

The spelling of 305200153401 in words is "three hundred five billion, two hundred million, one hundred fifty-three thousand, four hundred one".