1682616551 has 16 divisors (see below), whose sum is σ = 2154508800. Its totient is φ = 1275691680.

The previous prime is 1682616547. The next prime is 1682616557. The reversal of 1682616551 is 1556162861.

It is a cyclic number.

It is not a de Polignac number, because 1682616551 - 2² = 1682616547 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1682616499 and 1682616508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682616557) 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, 292451 + ... + 298148.

It is an arithmetic number, because the mean of its divisors is an integer number (134656800).

Almost surely, 2^1682616551 is an apocalyptic number.

1682616551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1682616551 is a deficient number, since it is larger than the sum of its proper divisors (471892249).

1682616551 is a wasteful number, since it uses less digits than its factorization.

1682616551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590654.

The product of its digits is 86400, while the sum is 41.

The square root of 1682616551 is about 41019.7092993112. The cubic root of 1682616551 is about 1189.4012360955.

The spelling of 1682616551 in words is "one billion, six hundred eighty-two million, six hundred sixteen thousand, five hundred fifty-one".