61248825 has 96 divisors (see below), whose sum is σ = 125527680. Its totient is φ = 29030400.

The previous prime is 61248823. The next prime is 61248827. The reversal of 61248825 is 52884216.

It is an interprime number because it is at equal distance from previous prime (61248823) and next prime (61248827).

It is not a de Polignac number, because 61248825 - 2¹ = 61248823 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61248825.

It is not an unprimeable number, because it can be changed into a prime (61248823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541969 + ... + 542081.

It is an arithmetic number, because the mean of its divisors is an integer number (1307580).

Almost surely, 2^61248825 is an apocalyptic number.

61248825 is the 4950-th heptagonal number.

It is an amenable number.

61248825 is an abundant number, since it is smaller than the sum of its proper divisors (64278855).

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

61248825 is a wasteful number, since it uses less digits than its factorization.

61248825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 61248825 is about 7826.1628528929. The cubic root of 61248825 is about 394.1842374891.

The spelling of 61248825 in words is "sixty-one million, two hundred forty-eight thousand, eight hundred twenty-five".