1201461625 has 96 divisors (see below), whose sum is σ = 1912135680. Its totient is φ = 746928000.

The previous prime is 1201461607. The next prime is 1201461647. The reversal of 1201461625 is 5261641021.

It is not a de Polignac number, because 1201461625 - 2⁵ = 1201461593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201461593 and 1201461602.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6290280 + ... + 6290470.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 2^1201461625 is an apocalyptic number.

It is an amenable number.

1201461625 is a deficient number, since it is larger than the sum of its proper divisors (710674055).

1201461625 is a wasteful number, since it uses less digits than its factorization.

1201461625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1201461625 is about 34662.1064708999. The cubic root of 1201461625 is about 1063.0898408893.

It can be divided in two parts, 120146 and 1625, that added together give a triangular number (121771 = T₄₉₃).

The spelling of 1201461625 in words is "one billion, two hundred one million, four hundred sixty-one thousand, six hundred twenty-five".