61828249833 has 48 divisors (see below), whose sum is σ = 108142570560. Its totient is φ = 34803058752.

The previous prime is 61828249811. The next prime is 61828249837. The reversal of 61828249833 is 33894282816.

It is a de Polignac number, because none of the positive numbers 2^k-61828249833 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61828249833.

It is not an unprimeable number, because it can be changed into a prime (61828249837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260116 + ... + 437397.

It is an arithmetic number, because the mean of its divisors is an integer number (2252970220).

Almost surely, 2^61828249833 is an apocalyptic number.

61828249833 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

61828249833 is a deficient number, since it is larger than the sum of its proper divisors (46314320727).

61828249833 is a wasteful number, since it uses less digits than its factorization.

61828249833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697603 (or 697590 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 61828249833 in words is "sixty-one billion, eight hundred twenty-eight million, two hundred forty-nine thousand, eight hundred thirty-three".