1954964625 has 128 divisors (see below), whose sum is σ = 3622993920. Its totient is φ = 932256000.

The previous prime is 1954964611. The next prime is 1954964651. The reversal of 1954964625 is 5264694591.

It is not a de Polignac number, because 1954964625 - 2¹¹ = 1954962577 is a prime.

Its product of digits (2332800) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11706292 + ... + 11706458.

It is an arithmetic number, because the mean of its divisors is an integer number (28304640).

Almost surely, 2^1954964625 is an apocalyptic number.

1954964625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1954964625 is a deficient number, since it is larger than the sum of its proper divisors (1668029295).

1954964625 is a wasteful number, since it uses less digits than its factorization.

1954964625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 1954964625 is about 44214.9819065891. The cubic root of 1954964625 is about 1250.3923301821.

The spelling of 1954964625 in words is "one billion, nine hundred fifty-four million, nine hundred sixty-four thousand, six hundred twenty-five".