820540153 has 2 divisors, whose sum is σ = 820540154. Its totient is φ = 820540152.

The previous prime is 820540103. The next prime is 820540177. The reversal of 820540153 is 351045028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 701031529 + 119508624 = 26477^2 + 10932^2 .

It is a cyclic number.

It is not a de Polignac number, because 820540153 - 2⁹ = 820539641 is a prime.

It is a super-2 number, since 2×820540153² = 1346572285370526818, which contains 22 as substring.

It is equal to p_42147811 and since 820540153 and 42147811 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (820540103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410270076 + 410270077.

It is an arithmetic number, because the mean of its divisors is an integer number (410270077).

Almost surely, 2^820540153 is an apocalyptic number.

It is an amenable number.

820540153 is a deficient number, since it is larger than the sum of its proper divisors (1).

820540153 is an equidigital number, since it uses as much as digits as its factorization.

820540153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 820540153 is about 28645.0720543691. The cubic root of 820540153 is about 936.1956366730.

The spelling of 820540153 in words is "eight hundred twenty million, five hundred forty thousand, one hundred fifty-three".