53006961 has 16 divisors (see below), whose sum is σ = 80897024. Its totient is φ = 30243024.

The previous prime is 53006951. The next prime is 53006971. The reversal of 53006961 is 16960035.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53006951) and next prime (53006971).

It is not a de Polignac number, because 53006961 - 2⁶ = 53006897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53006951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15750 + ... + 18816.

It is an arithmetic number, because the mean of its divisors is an integer number (5056064).

Almost surely, 2^53006961 is an apocalyptic number.

It is an amenable number.

53006961 is a deficient number, since it is larger than the sum of its proper divisors (27890063).

53006961 is a wasteful number, since it uses less digits than its factorization.

53006961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 53006961 is about 7280.5879570265. The cubic root of 53006961 is about 375.6450196740.

Adding to 53006961 its reverse (16960035), we get a palindrome (69966996).

The spelling of 53006961 in words is "fifty-three million, six thousand, nine hundred sixty-one".