61253040 has 80 divisors (see below), whose sum is σ = 201067488. Its totient is φ = 15372288.

The previous prime is 61253039. The next prime is 61253047. The reversal of 61253040 is 4035216.

61253040 = 1368² + 1369² + ... + 1399².

It is a happy number.

61253040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 61252998 and 61253016.

It is not an unprimeable number, because it can be changed into a prime (61253047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3427 + ... + 11586.

Almost surely, 2^61253040 is an apocalyptic number.

61253040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61253040 is an abundant number, since it is smaller than the sum of its proper divisors (139814448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61253040 is a wasteful number, since it uses less digits than its factorization.

61253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15046 (or 15040 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 61253040 is about 7826.4321373152. The cubic root of 61253040 is about 394.1932795589.

Adding to 61253040 its reverse (4035216), we get a palindrome (65288256).

The spelling of 61253040 in words is "sixty-one million, two hundred fifty-three thousand, forty".