820619253 has 24 divisors (see below), whose sum is σ = 1259200800. Its totient is φ = 513519264.

The previous prime is 820619251. The next prime is 820619269. The reversal of 820619253 is 352916028.

It is not a de Polignac number, because 820619253 - 2¹ = 820619251 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820619251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3375 + ... + 40652.

It is an arithmetic number, because the mean of its divisors is an integer number (52466700).

Almost surely, 2^820619253 is an apocalyptic number.

It is an amenable number.

820619253 is a deficient number, since it is larger than the sum of its proper divisors (438581547).

820619253 is a wasteful number, since it uses less digits than its factorization.

820619253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44161 (or 44158 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 820619253 is about 28646.4527123342. The cubic root of 820619253 is about 936.2257187659.

The spelling of 820619253 in words is "eight hundred twenty million, six hundred nineteen thousand, two hundred fifty-three".